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ANTONII [103]
3 years ago
11

What is the range of the function f(x) = -|3x + 3|?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0

Answer:

The range of the function f(x) = -|3\cdot x+3| is every positive real numbers plus zero.

Step-by-step explanation:

According to definition of the absolute value, the range of absolute value covers positive real numbers or zero. A linear function is a continuous function, which means the existence of an image for every element from domain. The negative sign transforms the original range to all negative real numbers plus zero.

Hence, the range of the function f(x) = -|3\cdot x+3| is every positive real numbers plus zero.

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En una radio, 1/8 del dia esta destinado a emitir publicidad. Del total de publucidad, 3/5 corresponden a comerciales de univerc
Mamont248 [21]

Respuesta:

3/40

Explicación paso a paso:

Dado :

Fracción de tiempo diario dedicado a publicidad = 1/8

Del tiempo diario dedicado a publicidad, 3/5 corresponde a comerciales de universidad

Fracción del tiempo diario dedicado a la publicidad de las universidades:

3/5 de 1/8

3/5 * 1/8 = (3 * 1) / (5 * 8) = 3/40

7 0
3 years ago
NEED HELP ASAP SHOW WORK AND PLZ EXPLAIN
Rainbow [258]

Answer:

x = 12

Step-by-step explanation:

Given

4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side

4x - 20 = 2x + 4 ( subtract 2x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

3 0
3 years ago
If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?
allochka39001 [22]

Answer:

17 feet 10 inches

Step-by-step explanation:

26 feet 10 inches is cut from a wire that is 44 feet 8 inches

Therefore the length of wire that is left can be calculated as follows

44 feet 8 inches - 26 feet 10 inches

= 17 feet 10 inches

5 0
3 years ago
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 t
defon

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

7 0
3 years ago
Can someone help with this question? I only have 1 answer choice left
Contact [7]

Option A:

Yes, he is correct.

Solution:

To find the distance between two points (2, 4) and (6, 3).

Distance between two points formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here x_1=2, x_2=6, y_1=4, y_2=3

Substitute these in the distance formula.

Step 1:

d=\sqrt{(6-2)^2+(3-4)^2}

Step 2 :

Using BODMAS rule, first simplify the values into the bracket.

d=\sqrt{(4)^2+(-1)^2}

Step 3:

Squaring the numbers.

d=\sqrt{16+1}

d=\sqrt{17}

Therefore, George's work is correct.

Option A is the correct answer.

5 0
3 years ago
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